GENEVA, SWITZERLAND - APRIL 19: A detailed view of the blackboard with theoretical physics equations in chalk by Alberto Ramos, Theoretical Physics Fellow and visitor, Antonio Gonzalez-Arroyo from the ...
The reticent and relentlessly abstract logician Kurt Gödel might seem an unlikely candidate for popular appreciation. But that’s what Rebecca Goldstein aims for in her new book Incompleteness, an ...
Gödel's Incompleteness Theorem, which proved that no formal mathematical system can demonstrate every mathematical truth, is a landmark of modern thought. It's a simple but profound statement, but the ...
Mark Colyvan receives funding from The Australian Research Council and from the Humboldt Foundation. The recent events surrounding Donald Trump’s first few weeks in the White House have left many ...
Godel’s theorems on the incompleteness and undecidability of mathematical systems are among the deepest and most significant discoveries of the 20 th century. They represent a dramatic failure of one ...
At 24, Kurt Gödel established himself as perhaps the greatest logician of the 20th century. Standing against the intellectual currents of his time, he unveiled two theorems in 1930 showing that a ...
Space to play or pause, M to mute, left and right arrows to seek, up and down arrows for volume. Alan Saunders: Hello, and welcome to The Philosopher's Zone. I'm Alan Saunders. Now as I mentioned a ...
We are sometimes inclined to make celebrities out of intellectuals despite—or perhaps precisely because of—their producing work we can never hope to understand. Bertrand Russell’s oddly old-fashioned ...
I’d like to add another interesting synthesis of logic and faith to Mike Kerrigan’s “God and Math at Dinner” (op-ed, Jan. 5). Gödel’s incompleteness theorems prove that certain mathematical methods ...